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A person has the following bills: $1, $5, $10, $20, $50. How

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A person has the following bills: $1, $5, $10, $20, $50. How [#permalink] New post 02 Oct 2003, 09:41
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A person has the following bills: $1, $5, $10, $20, $50. How many unique sums can one form using any number of these bills only once?
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shubhangi

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Re: PS [#permalink] New post 02 Oct 2003, 10:10
shubhangi wrote:
A person has the following bills: $1, $5, $10, $20, $50. How many unique sums can one form using any number of these bills only once?


Num of unique sums we get using 1 bill at a time = 5
Num of unique sums we get using 2 of the 5 bills at a time = C(5,2) = 10
Num of unique sums we get using 3 of the 5 bills at a time = C(5,3) = 10
Num of unique sums we get using 4 of the 5 bills at a time = C(5,4) = 5
Num of unique sums we get using 5 bills at a time = 1

So, answer = 5 + 10 + 10 + 5 + 1 = 31

Am I right?
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 [#permalink] New post 02 Oct 2003, 10:15
again ..am confused
if u can please explain
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 [#permalink] New post 03 Oct 2003, 05:59
Agree, it is 5C1+5C2+5C3+5C4+5C5=5+10+10+5+1=31
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 [#permalink] New post 03 Oct 2003, 08:09
Okay !!
that's easy to understand.. thanks
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  [#permalink] 03 Oct 2003, 08:09
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